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Simplifying 5(x + 3) + -1(x + 3) = 8 Reorder the terms: 5(3 + x) + -1(x + 3) = 8 (3 * 5 + x * 5) + -1(x + 3) = 8 (15 + 5x) + -1(x + 3) = 8 Reorder the terms: 15 + 5x + -1(3 + x) = 8 15 + 5x + (3 * -1 + x * -1) = 8 15 + 5x + (-3 + -1x) = 8 Reorder the terms: 15 + -3 + 5x + -1x = 8 Combine like terms: 15 + -3 = 12 12 + 5x + -1x = 8 Combine like terms: 5x + -1x = 4x 12 + 4x = 8 Solving 12 + 4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 8 + -12 4x = 8 + -12 Combine like terms: 8 + -12 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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